7 | 2DOF Systems

At the end of this section you should be able to

  1. Find EOMs for 2DOF systems

  2. Find natural frequencies and mode shapes of 2DOF systems

  3. Construct total solution to autonomous, conservative 2DOF systems

  4. Find SS solution to forced 2DOF systems

Free, Undamped Vibration

Systems with EOMs in the form

have the general solution

Simple Harmonic Forcing

2DOF systems with EOMs in the form


have the general solution

Vibration Absorbers

Code